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Finding the Fourth Proportional to 6,638, 9,160.12 and 3,984.88

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Solution

The fourth proportional to 6,638, 9,160.12 and 3,984.88 is: 5,498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638 : 9,160.12 = 3,984.88 : x
  2. Step 2: Convert to fraction form
    6,638/9,160.12 = 3,984.88/x
  3. Step 3: Cross multiply
    6,638x = 9,160.12 × 3,984.88
  4. Step 4: Simplify right side
    6,638x = 36,501,978.99
  5. Step 5: Solve for x
    x = 36,501,978.99/6,638
  6. Step 6: Final answer
    x = 5,498.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.